Symmetry properties of product states for the system of N n -level atoms
Robert Alicki, Sławomir Rudnicki, Sławomir Sadowski · Journal of Mathematical Physics · 1988
Suppose that the state of a system of N n-level atoms is given by a tensor product of N identical density matrices. The exact formulas are presented that describe the probability that such a system may be found in a pure state with a given symmetry with respect to permutations of atoms. The asymptotic form of these probabilities valid for large N is also derived.